Wave function,probability,normalization,etc.

[prehisto]

Homework Statement

-∞<p_i<∞
N-normalization multiple

f(p_x)=N*exp(-\alphap_x)
1)normalize wave function to 1
2) find probability distrubution p_x
2) find avarage value and dispersion for p_x

Homework Equations

So for normalization i have to find N value when \int (from -∞ to ∞)[N*exp(-\alphap_x)]^2=1
Am I right ?
either way when I am tried to solve this integral, i obtained -> -N^2=1
Could it be right ?

The Attempt at a Solution

 

[Goddar]

Your integral diverges, are you sure there's no square or absolute value involved?

 

[prehisto]

Your integral diverges, are you sure there's no square or absolute value involved?

Right now i have only this example ,checked - there is nothing more to it.
I will check the source and let you know.

 

[vela]

Homework Statement

-∞<p_i<∞
N-normalization multiple

f(p_x)=N*exp(-\alphap_x)
1)normalize wave function to 1
2) find probability distrubution p_x
2) find avarage value and dispersion for p_x

Homework Equations

The Attempt at a Solution

So for normalization i have to find N value when \int (from -∞ to ∞)[N*exp(-\alphap_x)]^2=1
Am I right?

Yes, that would be the normalization condition.

Either way when I tried to solve this integral, I obtained -> -N^2=1
Could it be right ?

No. First, as Goddar noted, the integral you wrote down diverges. Second, even if it didn't, your N would cause the integral to be negative, not +1.